Atkin-Lehner |
2+ 3+ 5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
24150m |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
495263671875000 = 23 · 32 · 514 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10819525,13693595125] |
[a1,a2,a3,a4,a6] |
Generators |
[1899:-925:1] |
Generators of the group modulo torsion |
j |
8964546681033941529169/31696875000 |
j-invariant |
L |
3.6711030579748 |
L(r)(E,1)/r! |
Ω |
0.34933825725253 |
Real period |
R |
2.6271836692374 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
72450ec4 4830ba4 |
Quadratic twists by: -3 5 |